Pith Number

pith:AFHZ6TFF

pith:2007:AFHZ6TFFTNWGMQ6AHVQVJANGFM

not attested not anchored not stored refs pending

Quantum Quasi-Cyclic LDPC Codes

Hideki Imai, Manabu Hagiwara

arxiv:quant-ph/0701020 v4 · 2007-01-05 · quant-ph · cs.IT · math-ph · math.CO · math.IT · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFHZ6TFFTNWGMQ6AHVQVJANGFM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:57:44.652116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

014f9f4ca59b6c6643c03d615481a62b0fa8be084e5a81c19f00794f6d5f6df0

Aliases

arxiv: quant-ph/0701020 · arxiv_version: quant-ph/0701020v4 · doi: 10.48550/arxiv.quant-ph/0701020 · pith_short_12: AFHZ6TFFTNWG · pith_short_16: AFHZ6TFFTNWGMQ6A · pith_short_8: AFHZ6TFF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AFHZ6TFFTNWGMQ6AHVQVJANGFM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 014f9f4ca59b6c6643c03d615481a62b0fa8be084e5a81c19f00794f6d5f6df0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9691b7949755378d624f77f12cf592204c5199e182b8ceaa5cfa96b9a3f8a848",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.CO",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-01-05T10:36:46Z",
    "title_canon_sha256": "1c3f9959ce4aeb5c3b734455545d9c82d667f4b16f92ce03f2d6b73dca029dc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0701020",
    "kind": "arxiv",
    "version": 4
  }
}